Question

PLEASE HELP WILL GIVE BRAINLIEST AND 1O POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The coordinates of the vertices of △RST are R(−4, −1) , S(−1, −1) , and T(−4, −2) .

The coordinates of the vertices of △R′S′T′ are R′(1, −2) , S′(1, 1) , and T′(2, −2) .

A sequence of transformations that maps △RST to △R′S′T′ is a *blank* followed by a *blank*.
options: translation 2 units up
translation 2 units down
rotation of 180 degrees about the orgin
rotation of 90 degrees counterclockwise about the orgin

Answer 1

1. Rotation  of 90° counterclockwise about the orgin has a rule:

(x,y)→(-y,x).

Then

• R(−4, −1)→R''(1,-4);
• S(−1, −1)→S''(1,-1);
• T(−4, −2)→T''(2,-4).

2. Translation 2 units up has a rule:

(x,y)→(x,y+2).

Then:

• R''(1,-4)→R'(1,-2);
• S''(1,-1)→S'(1,1);
• T′'(2,-4)→T'(2,-2).

Answer: 1st transforamation - option D, 2nd transformation - option A.